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arXiv · 2510.11033

A density counterpart of the Scheepers covering property

Leandro Aurichi·Fortunato Maesano·Lyubomyr Zdomskyy
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Abstract

We introduce a density counterpart of the Scheepers covering property $\bigcup_{\mathrm{fin}}(\mathcal O,\Omega)$ and study its relations to known combinatorial density property. In particular, we show that it is equivalent to the $M$-separability under the Near Coherence of Filters principle of Blass and Weiss.

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Leandro Aurichi, Fortunato Maesano, Lyubomyr Zdomskyy. 2025-10-13. A density counterpart of the Scheepers covering property. https://arxiv.org/abs/2510.11033

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